Question

The table shows the position of a motorcyclist after accelerating from rest. t (seconds) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s

Answer 1

Instantaneous velocity represents the velocity at a particular point.

The instantaneous velocity at t = 3 is 7.7 ft/s

The table is given as:

$\left[\begin{array}{cccccccc}t&0&1&2&3&4&5&6\\s&0&4.9&10.7&23.2&50.4&109.4&237.8\end{array}\right]$

To calculate the instantaneous velocity at $t = 0$

We get the distance at $t = 3$

At $t = 3$, the distance (s) is:

$s = 23.2$

So, the instantaneous velocity (v) is:

$v = \frac st$

This gives

$v = \frac{23.2}3$

Divide 23.2 by 3

$v = 7.7$

Hence, the instantaneous velocity at t = 3 is 7.7 ft/s

See attachment for the required graph

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